How to Find GCF of 2226/812, 9421/5585?

GCF of 2226/812, 9421/5585

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2226/812, 9421/5585 i.e 1/4535020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2226/812, 9421/5585.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2226/812,9421/5585?

Given fractions are 2226/812,9421/5585

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2226/812,9421/5585, numerators are 2226,9421

Denominators are 812,5585

The GCF of 2226,9421 is 1 .

LCM of 812,5585 is 4535020.

The greatest common factor of 2226/812,9421/5585 = [GCF of 2226,9421]/[LCM of 812,5585]= 1/4535020

Therefore, the GCF of 2226/812,9421/5585 is 1/4535020.

Greatest Common Factor of 2226,9421

To find the highest common factor of 2226,9421, we have to find the factors of both numbers and list the highest common factor.

The factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226

The factors of 9421 are 1, 9421

The HCF of 2226,9421 is 1.

Lets's calculate GCF of 2226,9421

Greatest Common Factor (GCF) of 2226,9421 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2226,9421 By Matching Biggest Common Factor Method

Now, list down the factors of 2226

1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226

Now, list down the factors of 9421

1,9421

Greatest Common Factor

We found the factors 2226,9421 . The biggest common factor number is the GCF number.
So the greatest common factor 2226,9421 is 1.

Lets's calculate LCM of 812,5585

Lowest Common Multiple of 812,5585 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4535020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4535020

Therefore, the GCF of Fractions 2226/812,9421/5585 is 1/4535020

Least Common Multiple of 812,5585 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 812,5585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,5585) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(812,5585) x common factors =1 x 1 = 1

LCM(812,5585) = ( 812 × 5585 ) / 1

LCM(812,5585) = 4535020 / 1

LCM(812,5585) = 4535020

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2226/812, 9421/5585

1. What is the HCF of 2226,9421?

The HCF of 2226,9421 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2226/812, 9421/5585?

Answer: GCF of Numerators as per given numbers 2226/812, 9421/5585 is

GCF of Numerators i.e. for 2226,9421 is 1

LCM of denominators i.e. for 812,5585 is 4535020.

Thus, GCF of Fractions is 1/4535020.Finally, GCF of Fractions for 2226/812, 9421/5585 is 1/4535020.